Solve 2(2x+3)+3(2x-2)=5(x-1) | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$2(2x+3)+3(2x-2)=5(x-1)$$

Solve for x

$x=-1$

Steps for Solving Linear Equation

Use the distributive property to multiply $2$ by $2x+3$.

$$4x+6+3\left(2x-2\right)=5\left(x-1\right)$$

Use the distributive property to multiply $3$ by $2x-2$.

$$4x+6+6x-6=5\left(x-1\right)$$

Combine $4x$ and $6x$ to get $10x$.

$$10x+6-6=5\left(x-1\right)$$

Subtract $6$ from $6$ to get $0$.

$$10x=5\left(x-1\right)$$

Use the distributive property to multiply $5$ by $x-1$.

$$10x=5x-5$$

Subtract $5x$ from both sides.

$$10x-5x=-5$$

Combine $10x$ and $-5x$ to get $5x$.

$$5x=-5$$

Divide both sides by $5$.

$$x=\frac{-5}{5}$$

Divide $-5$ by $5$ to get $-1$.

$$x=-1$$